1
MHT CET 2026 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
For the following probability distribution of a random variable $X$, the Expected value and Variance of $X$ are respectively
$X = x$$1$$2$$3$
$P(X = x)$$1/5$$2/5$$2/5$
A
$\dfrac{27}{5}, \dfrac{27}{25}$
B
$\dfrac{11}{5}, \dfrac{14}{25}$
C
$\dfrac{4}{5}, \dfrac{14}{25}$
D
$\dfrac{7}{5}, \dfrac{11}{25}$
2
MHT CET 2026 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
A fair die is rolled indefinitely. Player A wins if two consecutive rolls show 3 or 5, and player B wins if two consecutive rolls show 1 or 2 or 4 or 6. The probability that player A wins in the long run is
A
$\dfrac{2}{3}$
B
$\dfrac{5}{21}$
C
$\dfrac{1}{7}$
D
$\dfrac{2}{21}$
3
MHT CET 2026 20th April Evening Shift
MCQ (Single Correct Answer)
+1
-0
A physical quantity $x$ is related as $x = \sqrt{a}\ b^2 c^3 d^{-4}$. Relative errors in the quantities $a$, $b$, $c$ and $d$ are 2%, 1%, 3% and 4% respectively. Relative error in $x$ will be
A
30%
B
28%
C
24%
D
18%
4
MHT CET 2026 20th April Evening Shift
MCQ (Single Correct Answer)
+1
-0
If two vectors $\vec{A} = 4\hat{i} + n\hat{j} + 2\hat{k}$ and $\vec{B} = 2\hat{i} + 2\hat{j} - \hat{k}$ are mutually perpendicular to each other then value of 'n' is
A
$+3$
B
$+1$
C
$-3$
D
$-1$

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